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218051138761 is a prime number
BaseRepresentation
bin1100101100010011011…
…1000101010011001001
3202211211100200112201021
43023010313011103021
512033032042420021
6244101000352441
721516340045501
oct3130467052311
9684740615637
10218051138761
11845252019a5
1236314a75721
1317740016281
14a7a7620a01
155a1307ec41
hex32c4dc54c9

218051138761 has 2 divisors, whose sum is σ = 218051138762. Its totient is φ = 218051138760.

The previous prime is 218051138759. The next prime is 218051138771. The reversal of 218051138761 is 167831150812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193002062400 + 25049076361 = 439320^2 + 158269^2 .

It is a cyclic number.

It is not a de Polignac number, because 218051138761 - 21 = 218051138759 is a prime.

It is a super-2 number, since 2×2180511387612 (a number of 23 digits) contains 22 as substring.

Together with 218051138759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (218051138771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109025569380 + 109025569381.

It is an arithmetic number, because the mean of its divisors is an integer number (109025569381).

Almost surely, 2218051138761 is an apocalyptic number.

It is an amenable number.

218051138761 is a deficient number, since it is larger than the sum of its proper divisors (1).

218051138761 is an equidigital number, since it uses as much as digits as its factorization.

218051138761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 218051138761 in words is "two hundred eighteen billion, fifty-one million, one hundred thirty-eight thousand, seven hundred sixty-one".